Circle compactification and ’t Hooft anomaly

  title={Circle compactification and ’t Hooft anomaly},
  author={Yuya Tanizaki and Tatsuhiro Misumi and Norisuke Sakai},
  journal={Journal of High Energy Physics},
A bstractAnomaly matching constrains low-energy physics of strongly-coupled field theories, but it is not useful at finite temperature due to contamination from high-energy states. The known exception is an ’t Hooft anomaly involving one-form symmetries as in pure SU(N ) Yang-Mills theory at θ = π. Recent development about large-N volume independence, however, gives us a circumstantial evidence that ’t Hooft anomalies can also remain under circle compactifications in some theories without one… 

Universality between vector-like and chiral quiver gauge theories: anomalies and domain walls

We study low-energy dynamics of [SU( N )] K chiral quiver gauge theories in connection with N $$ \mathcal{N} $$ = 1 super Yang-Mills (SYM) theory, and quantum chromodynamics with bi-fundamental

Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls

A bstractWe study the discrete chiral- and center-symmetry ’t Hooft anomaly matching in the charge-q two-dimensional Schwinger model. We show that the algebra of the discrete symmetry operators

High-temperature domain walls of QCD with imaginary chemical potentials

A bstractWe study QCD with massless quarks on ℝ3 × S1 under symmetry-twisted boundary conditions with small compactification radius, i.e. at high temperatures. Under suitable boundary conditions, the

Modified instanton sum in QCD and higher-groups

We consider the SU( N ) Yang-Mills theory, whose topological sectors are restricted to the instanton number with integer multiples of p . We can formulate such a quantum field theory maintaining

Topological aspects of 4D Abelian lattice gauge theories with the θ parameter

We study a four-dimensional $U(1)$ gauge theory with the $\theta$ angle, which was originally proposed by Cardy and Rabinovici. It is known that the model has the rich phase diagram thanks to the

Self-conjugate QCD

  • M. Anber
  • Physics
    Journal of High Energy Physics
  • 2019
Abstract We carry out a systematic study of SU(6) Yang-Mills theory endowed with fermions in the adjoint and 3-index antisymmetric mixed-representation. The fermion bilinear in the 3-index

From 3D dualities to hadron physics

When one of the space-time dimension is compactified on $S^1$, the QCD exhibits the chiral phase transition at some critical radius. When we further turn on a background $\theta$ term which depends

Semiclassics with ’t Hooft flux background for QCD with 2-index quarks

Abstract We study quantum chromodynamics including the two-index symmetric or anti-symmetric quark (QCD(Sym/ASym)) on small ℝ2× T2 with a suitable magnetic flux. We first discuss the ’t Hooft

Deconfinement and CP breaking at θ=π in Yang-Mills theories and a novel phase for SU(2)

We discuss the deconfinement and the CP-breaking phase transitions at $\theta=\pi$ in Yang-Mills theories. The 't Hooft anomaly matching prohibits the confined phase with CP symmetry and requires



Anomaly constraints on deconfinement and chiral phase transition

We study constraints on thermal phase transitions of ${\rm SU}(N_c)$ gauge theories by using the 't Hooft anomaly involving the center symmetry and chiral symmetry. We consider two cases of massless

Theta, time reversal and temperature

A bstractSU(N ) gauge theory is time reversal invariant at θ = 0 and θ = π. We show that at θ = π there is a discrete ’t Hooft anomaly involving time reversal and the center symmetry. This anomaly

Continuity, deconfinement, and (super) Yang-Mills theory

A bstractWe study the phase diagram of SU(2) Yang-Mills theory with one adjoint Weyl fermion on $ {{\mathbb{R}}^3}\times {{\mathbb{S}}^1} $ as a function of the fermion mass m and the

Global inconsistency, 't~Hooft anomaly, and level crossing in quantum mechanics

An 't Hooft anomaly is the obstruction for gauging symmetries, and it constrains possible low-energy behaviors of quantum field theories by excluding trivial infrared theories. Global inconsistency

Walls, anomalies, and deconfinement in quantum antiferromagnets

We consider the Abelian-Higgs model in 2+1 dimensions with instanton-monopole defects. This model is closely related to the phases of quantum anti-ferromagnets. In the presence of $\mathbb{Z}_2$

Symmetric Gapped Interfaces of SPT and SET States: Systematic Constructions

Symmetry protected topological (SPT) states have boundary 't Hooft anomalies that obstruct an effective boundary theory realized in its own dimension with UV completion and an on-site $G$-symmetry.

Anomaly manifestation of Lieb-Schultz-Mattis theorem and topological phases

The Lieb-Schultz-Mattis (LSM) theorem dictates that emergent low-energy states from a lattice model cannot be a trivial symmetric insulator if the filling per unit cell is not integral and if the

Coupling a QFT to a TQFT and duality

A bstractWe consider coupling an ordinary quantum field theory with an infinite number of degrees of freedom to a topological field theory. On $ \mathbb{R} $d the new theory differs from the original

The "parity" anomaly on an unorientable manifold

The “parity” anomaly—more accurately described as an anomaly in time-reversal or reflection symmetry—arises in certain theories of fermions coupled to gauge fields and/or gravity in a spacetime of

From 4d Yang-Mills to 2d ℂℙN − 1 model: IR problem and confinement at weak coupling

A bstractWe study four-dimensional SU(N) Yang-Mills theory on ℝ×T3=ℝ×SA1×SB1×SC1$$ \mathbb{R}\times {\mathbb{T}}^3=\mathbb{R}\times {S}_A^1\times {S}_B^1\times {S}_C^1 $$, with a twisted boundary